13460049792 has 192 divisors, whose sum is σ = 45793144800. Its totient is φ = 3713052672.

The previous prime is 13460049781. The next prime is 13460049803. The reversal of 13460049792 is 29794006431.

It is a happy number.

13460049792 is a `hidden beast` number, since 1 + 34 + 600 + 4 + 9 + 7 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (13460049781) and next prime (13460049803).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205078 + ... + 262634.

Almost surely, 2^13460049792 is an apocalyptic number.

13460049792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13460049792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22896572400).

13460049792 is an abundant number, since it is smaller than the sum of its proper divisors (32333095008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13460049792 is a wasteful number, since it uses less digits than its factorization.

13460049792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57613 (or 57598 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 13460049792 in words is "thirteen billion, four hundred sixty million, forty-nine thousand, seven hundred ninety-two".